A relation between topological indices and thermodynamics properties of terbium IV oxide has been established by using a rational method as it was found the most efficient method based on mean squared error (MSE). Terbium IV oxide has huge application as an insulator in modern technologies such as microelectronics, gas detectors, and luminiferous owing to mechanical and thermal stability, high dielectric constant, radiation resistance, and variable electrical conductivity. The chemical graph and topological indices have attracted the research community due to their potential application in discrete mathematics, biology, and chemistry. Our commitment is to investigate topological indices and thermodynamic properties of terbium IV oxide that depend on an innovative data utilitarian. Moreover, a relationship between topological indices and curve fitting has been established as an application point of view. All curve fittings have been found using MATLAB software.

中文翻译：

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通过焓和熵测量分析四氧化铽的拓扑性质

由于发现基于均方误差 (MSE) 的最有效方法，因此通过使用合理的方法建立了四氧化铽的拓扑指数和热力学性质之间的关系。由于机械和热稳定性、高介电常数、抗辐射性和可变电导率，四氧化铽作为绝缘体在微电子、气体探测器和发光体等现代技术中具有巨大的应用。化学图和拓扑指数因其在离散数学、生物学和化学中的潜在应用而吸引了研究界。我们的承诺是研究依赖于创新数据实用程序的四氧化铽的拓扑指数和热力学特性。此外，拓扑指标和曲线拟合之间的关系已被确立为应用观点。所有曲线拟合均使用 MATLAB 软件找到。